English

Geometric Crystals on Unipotent Groups and Generalized Young Tableaux

Quantum Algebra 2007-05-23 v1 Representation Theory

Abstract

We define geometric/unipotent crystal structure on unipotent subgroups of semi-simple algebraic groups. We shall show that in AnA_n-case, their ultra-discretizations coincide with crystals obtained by generalizing Young tableaux.

Keywords

Cite

@article{arxiv.math/0403234,
  title  = {Geometric Crystals on Unipotent Groups and Generalized Young Tableaux},
  author = {Toshiki Nakashima},
  journal= {arXiv preprint arXiv:math/0403234},
  year   = {2007}
}

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LaTeX 17 pages

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